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4040140412112 = 2437109719153427
BaseRepresentation
bin111010110010101011001…
…000100101010011010000
3112022020022022221220122020
4322302223020211103100
51012143201421141422
612332003114211440
7564614305611510
oct72625310452320
915266268856566
104040140412112
111318460a33382
1255300aa23b80
13233ca2ca0a8c
14dd78841b840
157015ee7a95c
hex3acab2254d0

4040140412112 has 160 divisors (see below), whose sum is σ = 12054285619200. Its totient is φ = 1142137511424.

The previous prime is 4040140412089. The next prime is 4040140412141. The reversal of 4040140412112 is 2112140410404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26255943 + ... + 26409369.

It is an arithmetic number, because the mean of its divisors is an integer number (75339285120).

Almost surely, 24040140412112 is an apocalyptic number.

4040140412112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040140412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027142809600).

4040140412112 is an abundant number, since it is smaller than the sum of its proper divisors (8014145207088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4040140412112 is a wasteful number, since it uses less digits than its factorization.

4040140412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154273 (or 154267 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4040140412112 its reverse (2112140410404), we get a palindrome (6152280822516).

The spelling of 4040140412112 in words is "four trillion, forty billion, one hundred forty million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 719 763 872 1308 1438 1526 1744 2157 2289 2616 2876 3052 4314 4578 5033 5232 5752 6104 8628 9156 10066 11504 12208 15099 17256 18312 20132 30198 34512 36624 40264 60396 78371 80528 120792 153427 156742 235113 241584 306854 313484 460281 470226 548597 613708 626968 920562 940452 1073989 1097194 1227416 1253936 1645791 1841124 1880904 2147978 2194388 2454832 3221967 3291582 3682248 3761808 4295956 4388776 6443934 6583164 7364496 8591912 8777552 12887868 13166328 16723543 17183824 25775736 26332656 33447086 50170629 51551472 66894172 100341258 110314013 117064801 133788344 200682516 220628026 234129602 267576688 330942039 351194403 401365032 441256052 468259204 661884078 702388806 772198091 802730064 882512104 936518408 1323768156 1404777612 1544396182 1765024208 1873036816 2316594273 2647536312 2809555224 3088792364 4633188546 5295072624 5619110448 6177584728 9266377092 12024227417 12355169456 18532754184 24048454834 36072682251 37065508368 48096909668 72145364502 84169591919 96193819336 144290729004 168339183838 192387638672 252508775757 288581458008 336678367676 505017551514 577162916016 673356735352 1010035103028 1346713470704 2020070206056 4040140412112